Is my simplification of 150xy(2x + 17)(8x-3) correct?

  • Thread starter Holocene
  • Start date
In summary, the purpose of eliminating parenthesis in scientific research is to simplify and clarify complex mathematical expressions. Common methods for eliminating parenthesis include the distributive property, the FOIL method, and the use of brackets. It is important to use caution when eliminating parenthesis to avoid changing the meaning of the equation and making mistakes in calculations. Some common mistakes to avoid include forgetting to distribute a negative sign, incorrectly combining like terms, and not following the proper order of operations. However, there are exceptions to eliminating parenthesis, such as when they are necessary to clarify the order of operations or indicate a grouping of terms that should not be altered.
  • #1
Holocene
237
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Pretty sure this is correct, anyone care to double-check it? Thanks!

150xy(2x + 17)(8x-3) = 2400x³y + 19500x²y - 7650xy
 
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  • #2
yep, true
 
  • #3


Yes, your answer is correct! Good job on eliminating the parentheses and simplifying the expression. It is always a good idea to double-check your work to ensure accuracy. Keep up the good work!
 

What is the purpose of eliminating parenthesis in scientific research?

The purpose of eliminating parenthesis in scientific research is to simplify and clarify complex mathematical expressions. By removing parenthesis, the equations become more readable and easier to manipulate. This helps researchers to better understand and communicate their findings.

What are some common methods for eliminating parenthesis in equations?

There are several methods for eliminating parenthesis in equations, including the distributive property, the FOIL method, and the use of brackets. These methods involve rearranging and simplifying the terms within the parenthesis to create a more concise expression.

Why is it important to use caution when eliminating parenthesis?

It is important to use caution when eliminating parenthesis because it can change the meaning of the equation. The order of operations must be followed carefully to ensure the correct answer is obtained. Additionally, mistakes in eliminating parenthesis can lead to errors in calculations and potentially alter the results of a study.

What are some common mistakes to avoid when eliminating parenthesis?

Some common mistakes to avoid when eliminating parenthesis include forgetting to distribute a negative sign, incorrectly combining like terms, and not following the proper order of operations. It is also important to double check the final expression to ensure it accurately represents the original equation.

Are there any exceptions to eliminating parenthesis?

Yes, there are some exceptions to eliminating parenthesis. In some cases, parenthesis are necessary to clarify the order of operations, particularly in more complex equations. Additionally, parenthesis can sometimes indicate a grouping of terms that should not be combined or altered in any way.

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